Question

8.

Which equation is represented by the graph?



A. y = −3x^2 + 2

B. y = 2x^2 − 3

C. y = 2x^2 − 2

D. y = 3x^2 − 2

Answer 1

D. y = 3x^2 − 2

Explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:

(

0

,

2

)

Focus:

(

0

,

23

12

)

Axis of Symmetry:

x

=

0

Directrix:

y

=

25

12

x

y

−

2

−

10

−

1

−

1

0

2

1

−

1

2

−

10

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:

(

0

,

−

3

)

Focus:

(

0

,

−

23

8

)

Axis of Symmetry:

x

=

0

Directrix:

y

=

−

25

8

x

y

−

2

5

−

1

−

1

0

−

3

1

−

1

2

5

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:

(

0

,

−

2

)

Focus:

(

0

,

−

15

8

)

Axis of Symmetry:

x

=

0

Directrix:

y

=

−

17

8

x

y

−

2

6

−

1

0

0

−

2

1

0

2

6

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:

(

0

,

−

2

)

Focus:

(

0

,

−

23

12

)

Axis of Symmetry:

x

=

0

Directrix:

y

=

−

25

12

x

y

−

2

10

−

1

1

0

−

2

1

1

2

10